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## GMAT Rate Problems: Multiple Machines

Welcome back to our series on GMAT quant rate problems. In the last article, we studied problems where two objects are moving, either in the same direction or in opposite directions. This article will return to machines and address problems that feature more than two...

## GMAT Rate Problems: “Two Moving Objects”

Welcome back to our series on GMAT quant rate problems. The last two articles covered machines working together to complete a job. This article addresses problems that have two objects moving at given speeds instead of two machines working at given rates. Recall from...

## GMAT Rate Problems: Master Methods for Combined Work Problems

Welcome back to our series on GMAT quant rates problems. This article will build upon the last and prepare you to easily solve combined work problems. To begin, let’s review the standard formula we learned last time: (1 / c) = (1 / a) + (1 / b) where c is the combined...

## GMAT Rate Problems: Combined Work Problems

Welcome back to our series on rate problems. In the first article, we introduced the relationship between the variables of rate, work, and time - or speed, distance, and time. This article and the next will teach you how to approach combined work problems which...

## GMAT Rate Problems: The Rate, Work, Time Relationship

The quantitative section of the GMAT works by using simple mathematical relationships to create challenging problems. This makes rate problems - which depend on simple relationships that are surprisingly versatile in their presentation and arrangement - a favorite and...

## GMAT Number Properties: Even and Odd Integers

Welcome back to our series on number properties. This final article in the series will introduce some properties of even and odd integers that appear very frequently on GMAT quant. It’s not an overstatement to say that you should be looking for properties of evens and...

## GMAT Number Properties: Multiples and Consecutive Integers

Welcome back to our series on number properties. The last two articles introduced GMAT quant problems that revolve around place value in multi-digit integers. This article returns to the “divisibility and factors” core of number properties. But now we are looking at...

## GMAT Number Properties: Switching Digits

Welcome back to our series on number properties. In the last article, we learned about place-value problems. This article will cover the related topic of switching digits in two-digit integers. Here are some examples of what that means: Place-value problems 75...

## GMAT Number Properties: Place Value Problems

Welcome back to our series on number properties. This article will introduce GMAT quant problems that revolve around the relationships between the digits of multi-digit integers. This topic can be tricky because we all know how the base-10 system works, but this...

## GMAT Number Properties: Least Common Multiple

Welcome back to our series on number properties. In the last article, we learned how to find the greatest common factor/divisor of a set of integers. This article will cover the related topic of the least common multiple. Least common multiple The least common...

## GMAT Number Properties: Greatest Common Factor

Welcome back to our series on number properties. This article will cover everything you need to know about the term “greatest common factor” or “greatest common divisor.” These terms refer to the greatest/highest/largest positive integer that is a factor or divisor...

## GMAT Divisibility and Remainders: Day of the Week Problems

Welcome back to our series on number properties. In the last article, we introduced remainders. This time we will address my favorite use of remainders on GMAT quant: day of the week problems. Have you ever encountered a problem like this? Problems related to Days of...

## GMAT Number Properties: Divisibility and Remainders

Welcome back to our series on number properties. In this article, we deal with the fallout of failed divisibility: remainders. Remainders exist whenever an integer is divided by another integer that is not one of its factors. When integer n is divided by integer x,...

## GMAT Divisibility Rules

Welcome back to our series on number properties. Last time we got familiar with prime factors as the substance of divisibility. In this article, we will extend this understanding by highlighting logical rules that sometimes come into play on GMAT number properties...

## GMAT Number Properties: Divisibility and Prime Factors

Welcome back to our series on number properties. In this article, we cover the heart and soul of number properties: divisibility, specifically as it relates to the prime factors of integers. Here’s the all-important fact: Divisibility boils down to shared primes....

## GMAT Number Properties: Consecutive Perfect Squares

Welcome back to our series on number properties. In the last article, we explored the factors of perfect squares. This article will examine a special property of consecutive perfect squares. A commonly tested skill on the GMAT is the ability to recognize and...

## Prime Factors of Perfect Squares

Welcome back to our series on number properties. Now that you know about prime factors, it’s time to learn a special property about the prime factors of perfect squares. Perfect squares are integers that represent the product resulting when some integer is multiplied...

## Prime Factorization: The Building Blocks of Integers

One of the most fundamental and widely applicable skills for GMAT quant is the ability to break down integers to their prime factors. Integers are a class of numbers sometimes referred to as “whole numbers.” Integers can be positive, negative, or 0 in value, and they...

## Exponents on The GMAT/EA: Everything You Need To Know

Understanding Exponents A key piece of algebraic notation on GMAT and Executive Assessment (EA)  quant problems is the exponent. Exponents appear on many kinds of quantitative problems, so fluency with exponents (and radicals) is an indispensable skill for achieving a...

## Large Exponents and The Units Digit

Welcome to the final article in our series on exponents. Some GMAT and Executive Assessment (EA) quant problems feature impossibly large numbers like 287459. These are problems that you simply can’t hope to solve without a key piece of knowledge that we call units...

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